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Finding the Fourth Proportional to 12,802.14, 19,197.09 and 6,565.14

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Solution

The fourth proportional to 12,802.14, 19,197.09 and 6,565.14 is: 9,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.14 : 19,197.09 = 6,565.14 : x
  2. Step 2: Convert to fraction form
    12,802.14/19,197.09 = 6,565.14/x
  3. Step 3: Cross multiply
    12,802.14x = 19,197.09 × 6,565.14
  4. Step 4: Simplify right side
    12,802.14x = 126,031,583.44
  5. Step 5: Solve for x
    x = 126,031,583.44/12,802.14
  6. Step 6: Final answer
    x = 9,844.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.